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Finding the Fourth Proportional to 1,407.70, 1,942.75 and 818.23

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Solution

The fourth proportional to 1,407.70, 1,942.75 and 818.23 is: 1,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.70 : 1,942.75 = 818.23 : x
  2. Step 2: Convert to fraction form
    1,407.70/1,942.75 = 818.23/x
  3. Step 3: Cross multiply
    1,407.70x = 1,942.75 × 818.23
  4. Step 4: Simplify right side
    1,407.70x = 1,589,606.62
  5. Step 5: Solve for x
    x = 1,589,606.62/1,407.70
  6. Step 6: Final answer
    x = 1,129.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.